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The family of curves defined by y = kx^3 represents:

Practice Questions

Q1
The family of curves defined by y = kx^3 represents:
  1. Linear curves
  2. Cubic curves
  3. Quadratic curves
  4. Exponential curves

Questions & Step-by-Step Solutions

The family of curves defined by y = kx^3 represents:
  • Step 1: Identify the equation given, which is y = kx^3.
  • Step 2: Recognize that 'k' is a constant that can take different values.
  • Step 3: Understand that changing the value of 'k' will change the shape of the curve.
  • Step 4: Realize that for each different value of 'k', you get a different curve, but they all have the same general form (cubic).
  • Step 5: Conclude that all these curves together form a 'family of curves' because they are related by the same equation with varying 'k'.
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